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730225440 = 253257279131
BaseRepresentation
bin101011100001100…
…101101100100000
31212220001021222200
4223201211230200
52443414203230
6200243133200
724044546100
oct5341455440
91786037880
10730225440
113452141aa
12184674200
13b8392b79
146cda5200
1544193160
hex2b865b20

730225440 has 432 divisors, whose sum is σ = 2957834880. Its totient is φ = 163537920.

The previous prime is 730225403. The next prime is 730225469. The reversal of 730225440 is 44522037.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5574175 + ... + 5574305.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2730225440 is an apocalyptic number.

730225440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478917440).

730225440 is an abundant number, since it is smaller than the sum of its proper divisors (2227609440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

730225440 is a wasteful number, since it uses less digits than its factorization.

730225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 730225440 is about 27022.6838045373. The cubic root of 730225440 is about 900.5040139879.

Adding to 730225440 its reverse (44522037), we get a palindrome (774747477).

The spelling of 730225440 in words is "seven hundred thirty million, two hundred twenty-five thousand, four hundred forty".